\begin{tabular}{l} Question \\ Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate. \\ \( \qquad \begin{aligned} f(x)=2^{x}+2 x \\ g(x)=5 x^{3}\end{aligned} \) \\ Select the correct answer below: \\ f(x) grows at a faster rate. \\ g(x) grows at a faster rate. \\ There is not enough information to determine which function grows at a faster rate. \\ \hline\end{tabular}

Gegeben ist eine weitere Funktion h. mit der Gleichung \( h(x)=0,5 x^{3}-4 x^{2}+6 x+2 \) 74 a) Untersuchen Sie den Graphen von \( h \) auf mögliche Wendepunkte.

MAS182 - Applied Mathematics 13. Final Examination - S1 2021 The water content \( W(t) \) (measured in grams) in the cheese is governed by the differential equation \[ \frac{d W}{d t}=-(W-100)^{2} \] with initial condition \( W(0)=200 \mathrm{~g} \) and time is measured in hours.

s] Using calculus and showing all working, graph the function \[ f(x)=\frac{x+2}{x^{2}-1} \]

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval \( (-\infty, \infty) \). Choose the correct answer below. False True

\( ( e ^ { x } - \sin y ) d x + ( \cos y ) d y \)